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Finding the Fourth Proportional to 136,847.76, 188,848.13 and 76,419.47

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Solution

The fourth proportional to 136,847.76, 188,848.13 and 76,419.47 is: 105,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,847.76 : 188,848.13 = 76,419.47 : x
  2. Step 2: Convert to fraction form
    136,847.76/188,848.13 = 76,419.47/x
  3. Step 3: Cross multiply
    136,847.76x = 188,848.13 × 76,419.47
  4. Step 4: Simplify right side
    136,847.76x = 14,431,672,678.75
  5. Step 5: Solve for x
    x = 14,431,672,678.75/136,847.76
  6. Step 6: Final answer
    x = 105,457.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.